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Finding the Fourth Proportional to 782.41, 1,079.65 and 467.70

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Solution

The fourth proportional to 782.41, 1,079.65 and 467.70 is: 645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.41 : 1,079.65 = 467.70 : x
  2. Step 2: Convert to fraction form
    782.41/1,079.65 = 467.70/x
  3. Step 3: Cross multiply
    782.41x = 1,079.65 × 467.70
  4. Step 4: Simplify right side
    782.41x = 504,953.19
  5. Step 5: Solve for x
    x = 504,953.19/782.41
  6. Step 6: Final answer
    x = 645.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.